Adding and subtracting fractions requires a ___ to combine them effectively.

Common denominator

True or False: The fraction 1/3 can be expressed as 2/6 when finding a common denominator.

False, because 1/3 is equivalent to 2/6 but not a common denominator with 2/6.

What is the process to convert 7/18 to a fraction with a denominator of 27?

Multiply both the numerator and the denominator by 1.5 to obtain 10.5/27.

Fill in the blank: Equivalent fractions are used to convert fractions to a ___ when adding or subtracting.

Common denominator

Riddle: I can be split into parts but must share a common base to combine. What am I?

Fractions

If you add 3/10 and 40%, what is the result in decimal form?

0.7

What is the sum of 3/10 and 2/9 when expressed with a common denominator?

5/9

True or False: The fraction 1.2 is equivalent to 120%.

True

Adding 1/5 and 1/5 results in ___.

2/5 (two shaded fifths)

What is the common denominator used when adding 3/4 and 2/3?

12

True or False: Subtracting 1/5 from 3/5 results in 2/5.

True

When multiplying a unit fraction by a whole number, the result is ___ the size of the original fraction.

Scaled up

What does dividing a unit fraction by a whole number do to the fraction?

It splits the fraction into equal parts.

Riddle: I am a fraction that, when multiplied by 3, gives you three parts of me. What am I?

1/3 (because 1/3 × 3 = 3/3 or 1)

Fill in the blank: The result of 3/4 + 2/3 is ___ liters.

1 5/12

Subtracting 2/5 from 3/5 leaves you with ___.

1/5

What is the product of 1/4 and 3?

3/4

True or False: 1/2 divided by 3 equals 1/3.

False; it equals 1/6.

What is the result of dividing 1/2 by 3?

The result is 1/6.

1/2 ÷ 4 equals ___ when half a tray of cherry cakes is divided into four bags.

1/8.

True or False: The ratio 2:3 (red:blue) is the same as 3:2 (blue:red).

False. The order matters in ratios.

If you have 1/3 metre of ribbon and divide it into five pieces, what is the length of each piece?

Each piece is 1/15 metre long.

Riddle: I am a fraction of a whole, when divided by a whole, I get smaller. What am I?

A unit fraction, like 1/n.

The generalization for multiplying a unit fraction 1/n by a whole number m is ___.

M/n, where the numerator equals the whole number.

What does the term 'proportion' describe?

A part relative to the whole, expressed as a fraction or percentage.